A child is walking to school in winter. The sidewalk is S = 300 feet long and then turns at a right angle and goes anotherl = 40 feet before reaching the door of the school. %3D The child, however, cuts through the snow x feet before the corner, and travels through the snow on BC. If the speed of the child through the snow is of the speed of the child on the sidewalk, then where should the child leave the sidewalk in order to get to school most quickly?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A child is walking to school in winter. The sidewalk is S = 300
feet long and then turns at a right angle and goes anotherl = 40 feet
before reaching the door of the school.
The child, however, cuts through the snow x feet before the corner,
and travels through the snow on BC.
If the speed of the child through the snow is of the speed of the
child on the sidewalk, then where should the child leave the sidewalk
in order to get to school most quickly?
Transcribed Image Text:A child is walking to school in winter. The sidewalk is S = 300 feet long and then turns at a right angle and goes anotherl = 40 feet before reaching the door of the school. The child, however, cuts through the snow x feet before the corner, and travels through the snow on BC. If the speed of the child through the snow is of the speed of the child on the sidewalk, then where should the child leave the sidewalk in order to get to school most quickly?
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